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Finding the Fourth Proportional to 13,896.38, 19,180.38 and 8,588

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Solution

The fourth proportional to 13,896.38, 19,180.38 and 8,588 is: 11,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.38 : 19,180.38 = 8,588 : x
  2. Step 2: Convert to fraction form
    13,896.38/19,180.38 = 8,588/x
  3. Step 3: Cross multiply
    13,896.38x = 19,180.38 × 8,588
  4. Step 4: Simplify right side
    13,896.38x = 164,721,103.44
  5. Step 5: Solve for x
    x = 164,721,103.44/13,896.38
  6. Step 6: Final answer
    x = 11,853.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.